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Related papers: Modular nuclearity: A generally covariant perspect…

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It is shown that only one vacuum state can be prepared with a finite amount of energy and it appears, in particular, as a limit of physical states under large timelike translations in any theory which satisfies a phase space condition…

Mathematical Physics · Physics 2008-11-26 Wojciech Dybalski

In a recent paper, we proved that a large class of spacetimes, not necessarily homogeneous or isotropous and relevant at a cosmological level, possesses a preferred codimension one submanifold, i.e., the past cosmological horizon, on which…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Claudio Dappiaggi , Valter Moretti , Nicola Pinamonti

A model-independent, locally generally covariant formulation of quantum field theory over four-dimensional, globally hyperbolic spacetimes will be given which generalizes similar, previous approaches. Here, a generally covariant quantum…

Mathematical Physics · Physics 2008-11-26 Rainer Verch

We consider the quantum state seen by an observer in the diamond-shaped region, which is a globally hyperbolic open submanifold of the Minkowski space-time. It is known from the operator-algebraic argument that the vacuum state of the…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Daisuke Ida , Takahiro Okamoto , Miyuki Saito

I propose to formalize quantum theories as topological quantum field theories in a generalized sense, associating state spaces with boundaries of arbitrary (and possibly finite) regions of space-time. I further propose to obtain such…

High Energy Physics - Theory · Physics 2007-05-23 Robert Oeckl

Tomita-Takesaki modular theory provides a set of algebraic tools in quantum field theory that is suitable for the study of the information-theoretic properties of states. For every open set in spacetime and choice of two states, the modular…

High Energy Physics - Theory · Physics 2021-02-02 Nima Lashkari

New progress in loop gravity has lead to a simple model of `general-covariant quantum field theory'. I sum up the definition of the model in self-contained form, in terms accessible to those outside the subfield. I emphasize its formulation…

High Energy Physics - Theory · Physics 2011-09-28 Carlo Rovelli

Several aspects of the manifestation of the causality principle in LQP (local quantum physics) are reviewed or presented. Particular emphasis is given to those properties which are typical for LQP in the sense that they do go beyond the…

Quantum Physics · Physics 2007-05-23 Bert Schroer

Utilizing the Tomita-Takesaki modular theory, we derive a closed-form analytic expression for the Araki-Uhlmann relative entropy between a single-mode squeezed state and the vacuum state in a free relativistic massive scalar Quantum Field…

High Energy Physics - Theory · Physics 2025-07-01 Marcelo S. Guimaraes , Itzhak Roditi , Silvio P. Sorella , Arthur F. Vieira

The Einstein theory of general relativity provides a peculiar example of classical field theory ruled by non-linear partial differential equations. A number of supplementary conditions (more frequently called gauge conditions) have also…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Giampiero Esposito , Cosimo Stornaiolo

Within the setting of algebraic quantum field theory a relation between phase-space properties of observables and charged fields is established. These properties are expressed in terms of compactness and nuclearity conditions which are the…

High Energy Physics - Theory · Physics 2016-09-06 D. Buchholz , C. D'Antoni

In this letter we present some new results on modular theory and its application in quantum field theory. In doing this we develop some new proposals how to generalize concepts of geometrical action. Therefore the spirit of this letter is…

Mathematical Physics · Physics 2007-05-23 B. Schroer , H. -W. Wiesbock

The present state of QFT is analysed from a new viewpoint whose mathematical basis is the modular theory of von Neumann algebras. Its physical consequences suggest new ways of dealing with interactions, symmetries, Hawking-Unruh thermal…

High Energy Physics - Theory · Physics 2007-05-23 Bert Schroer

Well-defined nonlinear deformations of free quantum fields are introduced as manifestly Poincar\'e invariant scaling and resonance properties of non-dynamical scale models in Minkowski space, instead of introducing nonlinear dynamical…

Quantum Physics · Physics 2019-11-21 Peter Morgan

The fundamental axioms of the quantum theory do not explicitly identify the algebraic structure of the linear space for which orthogonal subspaces correspond to the propositions (equivalence classes of physical questions). The projective…

Quantum Physics · Physics 2009-10-30 L. P. Horwitz

A new approach to the model-independent description of quantum field theories will be introduced in the present work. The main feature of this new approach is to incorporate in a local sense the principle of general covariance of general…

Mathematical Physics · Physics 2011-05-05 Romeo Brunetti , Klaus Fredenhagen , Rainer Verch

Recent progress in Lorentz-covariant quantum field theories of the nuclear many-body problem ({\em quantum hadrodynamics}, or QHD) is discussed. The importance of modern perspectives in effective field theory and density functional theory…

Nuclear Theory · Physics 2014-11-18 Brian D. Serot

The study of dualities is a central issue in several modern approaches to quantum field theory, as they have broad consequences on the structure and on the properties of the theory itself. We call Abelian duality the generalisation to…

Mathematical Physics · Physics 2016-11-29 Matteo Capoferri

We summarize a new realist interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes, but leaves the theory's basic dynamical content essentially intact.…

Quantum Physics · Physics 2014-06-09 Jacob A. Barandes , David Kagan

An explicitly covariant formulation is presented of a modified DGP scenario proposed recently [1], to avoid the instability of the self-accelerating branch. It is based on the introduction of a bulk scalar field with appropriate non-minimal…

High Energy Physics - Theory · Physics 2008-11-26 Alexey S. Koshelev , Theodore N. Tomaras
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